What is the Greatest Common Factor of 71400 and 71419?

Greatest common factor (GCF) of 71400 and 71419 is 1.

GCF(71400,71419) = 1

We will now calculate the prime factors of 71400 and 71419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71400 and 71419.

How to find the GCF of 71400 and 71419?

We will first find the prime factorization of 71400 and 71419. After we will calculate the factors of 71400 and 71419 and find the biggest common factor number .

Step-1: Prime Factorization of 71400

Prime factors of 71400 are 2, 3, 5, 7, 17. Prime factorization of 71400 in exponential form is:

71400 = 2³ × 3¹ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 71419

Prime factors of 71419 are 71419. Prime factorization of 71419 in exponential form is:

71419 = 71419¹

Step-3: Factors of 71400

List of positive integer factors of 71400 that divides 71400 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 25, 28, 30, 34, 35, 40, 42, 50, 51, 56, 60, 68, 70, 75, 84, 85, 100, 102, 105, 119, 120, 136, 140, 150, 168, 170, 175, 200, 204, 210, 238, 255, 280, 300, 340, 350, 357, 408, 420, 425, 476, 510, 525, 595, 600, 680, 700, 714, 840, 850, 952, 1020, 1050, 1190, 1275, 1400, 1428, 1700, 1785, 2040, 2100, 2380, 2550, 2856, 2975, 3400, 3570, 4200, 4760, 5100, 5950, 7140, 8925, 10200, 11900, 14280, 17850, 23800, 35700

Step-4: Factors of 71419

List of positive integer factors of 71419 that divides 71400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71400 and 71419. The biggest common factor number is the GCF number.
So the greatest common factor 71400 and 71419 is 1.

Also check out the Least Common Multiple of 71400 and 71419